IDEAS home Printed from https://ideas.repec.org/p/isu/genstf/1992010108000011326.html
   My bibliography  Save this paper

Using futures and option contracts to manage price and quantity risk: A case of corn farmers in central Iowa

Author

Listed:
  • Lei, Li-Fen

Abstract

The overall objective of this study is to examine the optimal responses of a risk-averse corn producer to price and quantity risks within a framework where both futures and option contracts are available as risk management tools. The corn farmer is selected as a representative decision maker because corn is the most important crop in Iowa;Numerical techniques are used to solve the expected utility maximization problem for the corn producer. In forming his subjective probability distributions about random variables, the farmer is assumed to predicate output which will be sell to cash market at a later date and use futures and put options to hedge against the risk associated with his cash position. To decide the optimal hedging strategy, the farmer also makes predictions on the cash, futures, and option prices prevailing at the end of period. Optimal positions are obtained for three scenarios: (1) the producer considers only futures, (2) the producer considers only put options, (3) the producer considers both futures and put options as risk management tools. Comparative static results regarding the impact of model parameters such as frame size, risk attitudes, price levels, and price variances on the optimal solution are then examined. The access values of futures, options, and futures-and-options added to the producer are computed based on the concept of certainty equivalent;The optimal solution indicates that put options are used not only as for hedging purpose but also as speculative tools. From hedging standpoint, however, the option market offers no additional benefit to the expected utility maximizing producer if futures contracts are already in use;The access values added to the corn producer show that the futures contracts have a greater value to the producer than does the option contracts. The primary factors determining the access value of options are farm size, the variability of prices, and the level of risk aversion.

Suggested Citation

  • Lei, Li-Fen, 1992. "Using futures and option contracts to manage price and quantity risk: A case of corn farmers in central Iowa," ISU General Staff Papers 1992010108000011326, Iowa State University, Department of Economics.
  • Handle: RePEc:isu:genstf:1992010108000011326
    as

    Download full text from publisher

    File URL: https://dr.lib.iastate.edu/server/api/core/bitstreams/9f605cbb-1c5a-483b-be89-5b72da856bd2/content
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Wolf, Avner, 1987. "Optimal hedging with futures options," Journal of Economics and Business, Elsevier, vol. 39(2), pages 141-158, May.
    2. Harvey Lapan & Giancarlo Moschini & Steven D. Hanson, 1991. "Production, Hedging, and Speculative Decisions with Options and Futures Markets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(1), pages 66-74.
    3. Calum G. Turvey & Timothy G. Baker, 1990. "A Farm-Level Financial Analysis of Farmers' Use of Futures and Options under Alternative Farm Programs," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(4), pages 946-957.
    4. Gordon, J. Douglas, 1985. "The Distribution of Daily Changes in Commodity Futures Prices," Technical Bulletins 156817, United States Department of Agriculture, Economic Research Service.
    5. Domowitz, Ian & Hakkio, Craig S., 1985. "Conditional variance and the risk premium in the foreign exchange market," Journal of International Economics, Elsevier, vol. 19(1-2), pages 47-66, August.
    6. Robert J. Myers & Stanley R. Thompson, 1989. "Generalized Optimal Hedge Ratio Estimation," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(4), pages 858-868.
    7. Andrew A. Weiss, 1984. "Arma Models With Arch Errors," Journal of Time Series Analysis, Wiley Blackwell, vol. 5(2), pages 129-143, March.
    8. Blattberg, Robert C & Gonedes, Nicholas J, 1974. "A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices," The Journal of Business, University of Chicago Press, vol. 47(2), pages 244-280, April.
    9. Berck, Peter, 1980. "Portfolio Theory and the Demand for Futures: theory and the case of California cotton," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt58j4t4qp, Department of Agricultural & Resource Economics, UC Berkeley.
    10. Baillie, R.T. & Myers, R.J., 1989. "Modeling Commodity Price Distributions And Estimating The Optimal Futures Hedge," Papers 201, Columbia - Center for Futures Markets.
    11. French, Kenneth R. & Schwert, G. William & Stambaugh, Robert F., 1987. "Expected stock returns and volatility," Journal of Financial Economics, Elsevier, vol. 19(1), pages 3-29, September.
    12. Milhoj, Anders, 1987. "A Conditional Variance Model for Daily Deviations of an Exchange Rate," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(1), pages 99-103, January.
    13. Hanson, Steven Duane, 1988. "Price level risk management in the presence of commodity options: income distribution, optimal market positions, and institutional value," ISU General Staff Papers 198801010800009847, Iowa State University, Department of Economics.
    14. Baillie, Richard T & Bollerslev, Tim, 2002. "The Message in Daily Exchange Rates: A Conditional-Variance Tale," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 60-68, January.
    15. Ronald W. Anderson, 1985. "Some determinants of the volatility of futures prices," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 5(3), pages 331-348, September.
    16. McCurdy, Thomas H. & Morgan, Ieuan G., 1987. "Tests of the martingale hypothesis for foreign currency futures with time-varying volatility," International Journal of Forecasting, Elsevier, vol. 3(1), pages 131-148.
    17. Aradhyula, Satheesh V. & Holt, Matthew T., 1988. "Garch Time-Series Models: An Application To Retail Livestock Prices," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 13(2), pages 1-10, December.
    18. Robert P. King & Lindon J. Robison, 1981. "An Interval Approach to Measuring Decision Maker Preferences," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 63(3), pages 510-520.
    19. Praetz, Peter D, 1972. "The Distribution of Share Price Changes," The Journal of Business, University of Chicago Press, vol. 45(1), pages 49-55, January.
    20. James V. Jordan & William E. Seale & Nancy C. McCabe & David E. Kenyon, 1987. "Transactions data tests of the black model for soybean futures options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 7(5), pages 535-554, October.
    21. Ederington, Louis H, 1979. "The Hedging Performance of the New Futures Markets," Journal of Finance, American Finance Association, vol. 34(1), pages 157-170, March.
    22. Durbin, J, 1970. "Testing for Serial Correlation in Least-Squares Regression When Some of the Regressors are Lagged Dependent Variables," Econometrica, Econometric Society, vol. 38(3), pages 410-421, May.
    23. Rolfo, Jacques, 1980. "Optimal Hedging under Price and Quantity Uncertainty: The Case of a Cocoa Producer," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 100-116, February.
    24. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    25. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-131, February.
    26. Bullock, David W. & Hayes, Dermot J., 1993. "The private value of having access to derivative securities: An example using commodity options," International Review of Economics & Finance, Elsevier, vol. 2(3), pages 233-249.
    27. Roger W. Gray, 1961. "The Search for a Risk Premium," Journal of Political Economy, University of Chicago Press, vol. 69(3), pages 250-250.
    28. Anderson, Ronald W & Danthine, Jean-Pierre, 1981. "Cross Hedging," Journal of Political Economy, University of Chicago Press, vol. 89(6), pages 1182-1196, December.
    29. Kandice H. Kahl, 1983. "Determination of the Recommended Hedging Ratio," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 65(3), pages 603-605.
    30. Antonovitz, Frances & Roe, Terry, 1986. "A Theoretical and Empirical Approach to the Value of Information in Risky Markets," The Review of Economics and Statistics, MIT Press, vol. 68(1), pages 105-114, February.
    31. Berck, Peter, 1980. "Portfolio Theory and the Demand for Futures: theory and the case of California cotton," CUDARE Working Papers 37706, University of California, Berkeley, Department of Agricultural and Resource Economics.
    32. Clark, Peter K, 1973. "A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices," Econometrica, Econometric Society, vol. 41(1), pages 135-155, January.
    33. Bollerslev, Tim, 1987. "A Conditionally Heteroskedastic Time Series Model for Speculative Prices and Rates of Return," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 542-547, August.
    34. Weiss, Andrew A., 1986. "Asymptotic Theory for ARCH Models: Estimation and Testing," Econometric Theory, Cambridge University Press, vol. 2(1), pages 107-131, April.
    35. Bullock, David William, 1989. "Options and market information: a mean-variance portfolio approach," ISU General Staff Papers 1989010108000010107, Iowa State University, Department of Economics.
    36. Lester G. Telser, 1958. "Futures Trading and the Storage of Cotton and Wheat," Journal of Political Economy, University of Chicago Press, vol. 66(3), pages 233-233.
    37. Berck, Peter, 1980. "Portfolio theory and the demand for futures: theory and the case of California cotton," CUDARE Working Paper Series 87, University of California at Berkeley, Department of Agricultural and Resource Economics and Policy.
    38. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    39. Gershon Feder & Richard E. Just & Andrew Schmitz, 1980. "Futures Markets and the Theory of the Firm under Price Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(2), pages 317-328.
    40. Holthausen, Duncan M, 1979. "Hedging and the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 69(5), pages 989-995, December.
    41. Simon Benninga & Rafael Eldor & Itzhak Zilcha, 1984. "The optimal hedge ratio in unbiased futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 4(2), pages 155-159, June.
    42. Avner Wolf, 1984. "Options of futures: Pricing and the effect of an anticipated price change," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 4(4), pages 491-512, December.
    43. Stephen C. Gabriel & C. B. Baker, 1980. "Concepts of Business and Financial Risk," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 62(3), pages 560-564.
    44. Ted C. Schroeder & Allen M. Featherstone, 1990. "Dynamic Marketing and Retention Decisions for Cow-Calf Producers," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(4), pages 1028-1040.
    45. Anderson, Ronald W & Danthine, Jean-Pierre, 1983. "Hedger Diversity in Futures Markets," Economic Journal, Royal Economic Society, vol. 93(37), pages 370-389, June.
    46. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tim Bollerslev & Ray Y. Chou & Narayanan Jayaraman & Kenneth F. Kroner - L, 1991. "es modéles ARCH en finance : un point sur la théorie et les résultats empiriques," Annals of Economics and Statistics, GENES, issue 24, pages 1-59.
    2. Degiannakis, Stavros & Xekalaki, Evdokia, 2004. "Autoregressive Conditional Heteroskedasticity (ARCH) Models: A Review," MPRA Paper 80487, University Library of Munich, Germany.
    3. Bollerslev, Tim & Engle, Robert F. & Nelson, Daniel B., 1986. "Arch models," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 49, pages 2959-3038, Elsevier.
    4. Font, Begoña, 1998. "Modelización de series temporales financieras. Una recopilación," DES - Documentos de Trabajo. Estadística y Econometría. DS 3664, Universidad Carlos III de Madrid. Departamento de Estadística.
    5. repec:adr:anecst:y:1991:i:24:p:01 is not listed on IDEAS
    6. Nijman, T.E. & Palm, F.C., 1991. "Recent developments in modeling volatility in financial data," Discussion Paper 1991-68, Tilburg University, Center for Economic Research.
    7. Torben G. Andersen & Tim Bollerslev & Peter F. Christoffersen & Francis X. Diebold, 2005. "Volatility Forecasting," PIER Working Paper Archive 05-011, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    8. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    9. Andersen, Torben G. & Bollerslev, Tim & Christoffersen, Peter F. & Diebold, Francis X., 2006. "Volatility and Correlation Forecasting," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 1, chapter 15, pages 777-878, Elsevier.
    10. Nijman, T.E. & Palm, F.C., 1991. "Recent developments in modeling volatility in financial data," Other publications TiSEM 0c1ff78c-d484-43bb-bcc3-a, Tilburg University, School of Economics and Management.
    11. Kim, Jae-Gyeong, 1993. "Futures markets in an open economy," ISU General Staff Papers 1993010108000011461, Iowa State University, Department of Economics.
    12. Tabesh, Hamid, 1987. "Hedging price risk to soybean producers with futures and options: a case study," ISU General Staff Papers 1987010108000010306, Iowa State University, Department of Economics.
    13. McCurdy, Thomas H & Morgan, Ieuan G, 1988. "Testing the Martingale Hypothesis in Deutsche Mark Futures with Models Specifying the Form of Heteroscedasticity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 3(3), pages 187-202, July-Sept.
    14. Kondo, Koji, 1997. "Statistical analysis of foreign exchange rates: application of cointegration model and regime-switching stochastic volatility model," ISU General Staff Papers 1997010108000012997, Iowa State University, Department of Economics.
    15. Franses,Philip Hans & Dijk,Dick van, 2000. "Non-Linear Time Series Models in Empirical Finance," Cambridge Books, Cambridge University Press, number 9780521779654.
    16. Kian Teng Kwek & Kuan Nee Koay, 2006. "Exchange rate volatility and volatility asymmetries: an application to finding a natural dollar currency," Applied Economics, Taylor & Francis Journals, vol. 38(3), pages 307-323.
    17. Atreya Chakraborty & John Barkoulas, 1999. "Dynamic futures hedging in currency markets," The European Journal of Finance, Taylor & Francis Journals, vol. 5(4), pages 299-314.
    18. Tomek, William G. & Peterson, Hikaru Hanawa, 2000. "Risk Management in Agricultural Markets: A Survey," Staff Papers 121140, Cornell University, Department of Applied Economics and Management.
    19. Wai Mun Fong, 1997. "Robust beta estimation: Some empirical evidence," Review of Financial Economics, John Wiley & Sons, vol. 6(2), pages 167-186.
    20. Bauer, Rob M M J & Nieuwland, Frederick G M C & Verschoor, Willem F C, 1994. "German Stock Market Dynamics," Empirical Economics, Springer, vol. 19(3), pages 397-418.
    21. Sergio H. Lence & Dermot J. Hayes, 1995. "Optimal Hedging Under Forward‐Looking Behaviour," The Economic Record, The Economic Society of Australia, vol. 71(4), pages 329-342, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:isu:genstf:1992010108000011326. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Curtis Balmer (email available below). General contact details of provider: https://edirc.repec.org/data/deiasus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.